Question

$\sqrt[3]{875}$can you help me solve this problem please? I also need help knowing how to work it out.

Answer 1

We are given the following expression:

$\sqrt[3]{875}$

We can factor 875 as:

$\sqrt[3]{125\times7}$

Now we will use the following property:

$\sqrt[x]{a\times b}=\sqrt[x]{a}\times\sqrt[x]{b}$

Applying the property:

$\sqrt[3]{125}\times\sqrt[3]{7}$

Solving the cubic root on the left:

$5\sqrt[3]{7}$

Since we get simplify any further this is the answer.